Optimal production run length and capital investment in quality improvement with an imperfect production process

The paper studies the effects of an imperfect production process on the optimal production run length when capital investment in process quality improvement is adopted. The mathematical model is derived to determine the optimal production run length and capital investment under the assumption of logarithmic investment function such that the total annual cost is minimized. In addition, an efficient algorithm is provided to find both the optimal production run length and the optimal process quality. Therefore, the optimal lot sizing and capital investment are appropriately determined. A numerical example is provided to illustrate the results and to assess the cost savings realized by adopting capital investment. Furthermore, some managerial implications are also included.

[1]  S. K. Goyal,et al.  An Integrated Inventory Model for a Single Product System , 1977 .

[2]  D. Varberg,et al.  Calculus with Analytic Geometry , 1968 .

[3]  T.C.E. Cheng,et al.  An Economic Order Quantity Model with Demand-Dependent Unit Production Cost and Imperfect Production Processes , 1991 .

[4]  Evan L. Porteus.  Optimal Lot Sizing, Process Quality Improvement and Setup Cost Reduction , 1986, Oper. Res..

[5]  Jae-Dong Hong,et al.  Process quality improvement and setup reduction in dynamic lot-sizing , 1993 .

[6]  DaeSoo Kim,et al.  Optimal two-stage lot sizing and inventory batching policies , 1999 .

[7]  Viliam Makis.  Optimal lot sizing and inspection policy for an EMQ model with imperfect inspections , 1998 .

[8]  M. Paknejad,et al.  Defective units in a continuous review (s, Q) system , 1995 .

[9]  Jae-Dong Hong.  Optimal production cycles, procurement schedules, and joint investment in an imperfect production system , 1997, Eur. J. Oper. Res..

[10]  Meir J. Rosenblatt,et al.  Economic Production Cycles with Imperfect Production Processes , 1986 .

[11]  Abraham Mehrez,et al.  Economic Production Lot Size Model with Variable Production Rate and Imperfect Quality , 1994 .

[12]  C. H. Kim,et al.  An optimal production run length in deteriorating production processes , 1999 .

[13]  Jack C. Hayya,et al.  Joint investment in quality improvement and setup reduction , 1995, Comput. Oper. Res..

[14]  Hamid Noori,et al.  Justifying new technology acquisition through its impact on the cost of running an inventory policy , 1988 .

[15]  Bhaba R. Sarker,et al.  Manufacturing setup cost reduction under variable lead times and finite opportunities for investment , 1997 .